The asymptotic connection between approximation by cardinal splines and entire functions of exponential type

被引：0
|
作者：
房艮孙
机构：
[1] Department of Mathematics
[2] Beijing 100875
[3] China
[4] Beijing Normal University
来源：
Chinese Science Bulletin | 1996年 / 04期
基金：
中国国家自然科学基金;
关键词：
entire functions of exponential type; cardinal splines; asymptotic relations;
D O I：
暂无
中图分类号：
O174 [函数论];
学科分类号：
070104 ;
摘要：
1 Lemma and main results Entire functions of exponential type and cardinal splines are both fundamental approximating tools for the classes of functions defined on line R. On the one hand, in the 1930s, Krein, Akhieser, Berstein studied the extremal properties of entire func-tions of exponential type and obtained many outstanding results. On the other hand, in
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页码：265 / 270
页数：6
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